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3 years ago

Determine the intercepts of the line. Y-3=5(x-2)

2 answers:

fomenos3 years ago

8 0

Finding the x-intercept first:

5 (x - 2) = y - 3

5x - 10 = 0 - 3

5x - 10 = -3

5x = 7

x = 7/5 or 1.4

Solve for y

y - 3 = 5 (0 - 2)

y - 3 = 0 - 10

y - 3 = -10

y = - 7

Burka [1]3 years ago

5 0

Answer:

x int = 7/5

y int = -7

Step-by-step explanation:

y = 5x - 7

when x = 0

y = -7

when y = 0

-5x = -7

x = 7/5

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Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

The correct answer is option B. AA

Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

$\angle A = 27^\circ\\\angle B = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ$

Now, if we compare the angles of the two triangles:

$\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ$

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

$\triangle ABC \sim \triangle WXY$ by AA theorem.

So, correct answer is option B. AA

7 0

3 years ago

2-1= plz help me i need help

Alinara [238K]

Answer:

1 :)

Step-by-step explanation:

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3 years ago

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Writing an equation of a probably given the vertex and focus

White raven [17]

The equation of the vertical parabola in vertex form is written as

$y=\frac{1}{4p}(x-h)^2+k$

Where (h, k) are the coordinates of the vertex and p is the focal distance.

The directrix of a parabola is a line which every point of the parabola is equally distant to this line and the focus of the parabola. The vertex is located between the focus and the directrix, therefore, the distance between the y-coordinate of the vertex and the directrix represents the focal distance.

$p=1-6=-5$

Using this value for p and (3, 1) as the vertex, we have our equation

$y=-\frac{1}{20}(x-3)^2+1$

6 0

1 year ago

Triangle ABC has been reflected over the x-axis to create triangle A'B'C'. Which of the following statements is true?

Leto [7]

Answer:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

=======================================================

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)

Point B = (0, 3) becomes B ' = (0, -3)

Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

Step-by-step explanation:

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3 years ago

The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil relative to when

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Answer: For plato family

A fossil with 47% of its carbon remaining is approximately how old

2998

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Step-by-step explanation:

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2 years ago

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